{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']  # 用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 用来正常显示负号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "hexbin 是二维直方图，其中的分区是六边形，颜色代表每个分区内的数据点数量。\n",
    "它和散点图和直方图都有点相似，但比起散点图，它能更直观的表示数据在某个小区域内的大致数量，\n",
    "和直方图相比，它能在二维尺度上描述数据的分布（直方图描述一维尺度）\n",
    "\"\"\"\n",
    "# Fixing random state for reproducibility\n",
    "np.random.seed(19680801)\n",
    "\n",
    "n = 100_000\n",
    "x = np.random.standard_normal(n)\n",
    "y = 2.0 + 3.0 * x + 4.0 * np.random.standard_normal(n)\n",
    "xlim = x.min(), x.max()\n",
    "ylim = y.min(), y.max()\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots(ncols=2, sharey=True, figsize=(9, 4))\n",
    "\n",
    "# gridsize用于调整六边形网格的尺寸，越大越精细\n",
    "hb = ax0.hexbin(x, y, gridsize=50, cmap='inferno')\n",
    "ax0.set(xlim=xlim, ylim=ylim)\n",
    "ax0.set_title(\"Hexagon binning\")\n",
    "cb = fig.colorbar(hb, ax=ax0, label='counts')\n",
    "\n",
    "hb = ax1.hexbin(x, y, gridsize=50, bins='log', cmap='inferno')\n",
    "ax1.set(xlim=xlim, ylim=ylim)\n",
    "ax1.set_title(\"With a log color scale\")\n",
    "cb = fig.colorbar(hb, ax=ax1, label='counts')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 简单的直方图绘制\n",
    "from matplotlib import colors\n",
    "from matplotlib.ticker import PercentFormatter\n",
    "\n",
    "# Create a random number generator with a fixed seed for reproducibility\n",
    "rng = np.random.default_rng(19680801)\n",
    "\n",
    "N_points = 100000\n",
    "n_bins = 20\n",
    "\n",
    "# Generate two normal distributions\n",
    "dist1 = rng.standard_normal(N_points)\n",
    "dist2 = 0.4 * rng.standard_normal(N_points) + 5\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, sharey=True, tight_layout=True)\n",
    "\n",
    "# We can set the number of bins with the *bins* keyword argument.\n",
    "axs[0].hist(dist1, bins=n_bins)\n",
    "axs[1].hist(dist2, bins=n_bins)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '将y轴转换为百分比')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 根据每个方形的高度设置颜色\n",
    "fig, axs = plt.subplots(1, 2, tight_layout=True)\n",
    "\n",
    "# N is the count in each bin, bins is the lower-limit of the bin\n",
    "N, bins, patches = axs[0].hist(dist1, bins=n_bins)\n",
    "\n",
    "# We'll color code by height, but you could use any scalar\n",
    "fracs = N / N.max()\n",
    "\n",
    "# we need to normalize the data to 0..1 for the full range of the colormap\n",
    "norm = colors.Normalize(fracs.min(), fracs.max())\n",
    "\n",
    "# Now, we'll loop through our objects and set the color of each accordingly\n",
    "for thisfrac, thispatch in zip(fracs, patches):\n",
    "    color = plt.cm.viridis(norm(thisfrac))\n",
    "    thispatch.set_facecolor(color)\n",
    "\n",
    "axs[0].set_title(\"根据每个方形的高度设置颜色\")\n",
    "\n",
    "# We can also normalize our inputs by the total number of counts\n",
    "# density=True将直方图的值转换为出现频率（0-1之间）\n",
    "axs[1].hist(dist1, bins=n_bins, density=True)\n",
    "\n",
    "# Now we format the y-axis to display percentage\n",
    "# 将y轴转换为百分比\n",
    "axs[1].yaxis.set_major_formatter(PercentFormatter(xmax=1))\n",
    "axs[1].set_title(\"将y轴转换为百分比\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制上下两个直方图\n",
    "rng = np.random.default_rng(19680801)\n",
    "N_points = 10_000\n",
    "\n",
    "# Generate two normal distributions\n",
    "dataset1 = np.random.normal(0, 1, size=N_points)\n",
    "dataset2 = np.random.normal(1, 2, size=N_points)\n",
    "\n",
    "# Use a constant bin width to make the two histograms easier to compare visually\n",
    "bin_width = 0.25\n",
    "bins = np.arange(np.min([dataset1, dataset2]),\n",
    "                    np.max([dataset1, dataset2]) + bin_width, bin_width)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# Plot the first histogram\n",
    "ax.hist(dataset1, bins=bins, label=\"Dataset 1\")\n",
    "\n",
    "# Plot the second histogram\n",
    "# (notice the negative weights, which flip the histogram upside down)\n",
    "ax.hist(dataset2, weights=-np.ones_like(dataset2), bins=bins, label=\"Dataset 2\")\n",
    "ax.axhline(0, color=\"k\")\n",
    "ax.legend()\n",
    "ax.set_title(\"绘制双直方图\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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o7du3T7Gxsdq8efMFfWXm2muvVf/+/R2v9fnss8903XXX6eTJk47L6P/3f/+njIwMbd26VZ9++qm+/PJLx8utL730Uh07dszlQy/nKy4u1vHjx5Wdna3GjRvr+uuvV0ZGhj766CN16tTJadmdO3eqXbt2kqROnTpp/vz5jifQz3X55ZeXeXCnIlOnTuXdi0AtwZlFoI44e89dRXJzc91a7pJLLtF7772n9u3bO16I7UvGjBmj0tJSzZ8/3+VDHRdi+PDhTpeZ27Rpo4ULFzrd0+nn56c333xT8fHx+uCDD5y+gnLgwIELjuH111/X8ePHy33o6IorrlBaWpratGljeXlbOlOALly4sMxLxK3079+fM4tALcKZRQCVcvbLIXwDuPbbv3+/wsPDXRaUAGovikUAAABY4pQAAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiaq2cnBwNHDhQDRo0UHh4eJkvjHzyySfy8/NzuY5WrVq5/JLJzJkz1adPHy9E6911AQDgLRSLqBYzZ87Uvn37Luo2Jk+erNOnTys1NVWvv/56ma90dO3aVZs3b76oMQBAVauK/Iq6hWIR1WLWrFkXPZl98803uu2223Tttddq8ODBGjhwoNP80NDQC/ruLwDURFWRX1G3UCyi1jp9+rTTN3gBAIDnKBbhVQUFBbrzzjvVtGlThYWFafDgwfrxxx8l/e8ewbP3CSYmJsrPz0+tWrVyWse2bdvUv39/hYSEqHXr1po/f75j3rJly9SwYUMtXLhQTZs2VbNmzfTggw/KbrdLkvbt2+fYxv79+3XHHXc4bfNc7tyzeCHeeustderUScHBwbryyiv18ccfO81ft26d2rdvr+DgYA0dOlS5ubkXLRYAvq+68yvqLopFeNVjjz2mtWvXavHixXrjjTeUm5uru+66S9L/7hE8e5/gCy+8oM2bN+vdd991tD969Kj69u2r0NBQffDBB3rggQc0ZcoUp4dTTpw4oeeee04vv/yynnjiCaWkpGjatGmSpObNmzu2cckll2jGjBlO26wqn3zyiW655RbdeOONSk1NVXx8vAYNGqTvv/9ekrR//37deOON6tSpk95991395je/0fPPP1+lMQLwLdWdX1GHGcCLhg4daq6++mrH+N69e81HH31UZjlJZsOGDWWmz5w50zRu3NjY7XbHtBtvvNH06tXLGGPM0qVLjSTz3//+1zF/+vTpxmazmeLiYqd1tWzZ0ixdutQy1g0bNpiKfgUqWseMGTNM7969y0zv06ePGTp0qGO8pKTEREdHm+nTpxtjjPnrX/9qIiMjzalTpxzLXHnlleWuCwCMqVn5FXVLQLVWqqh1xo0bp5tvvlnx8fG67rrrlJiYqMGDB7vdftu2bTp8+LBsNpvT9EsuucTx73r16unqq692jMfHx8tut+vAgQNq2bLlhe+EF2zbtk2//vprmcvcu3fvliTt2rVLcXFxTvvZq1cvffvtt1UZJgAfQn5FdaFYhFcNGTJEu3btUmpqqjZu3KgRI0bo97//vd566y2319G9e3e9+OKLTtMCApy7qjHG8e/S0lJJZ5JcTTJhwgSNHz/eaVp4eLikMzGf//AND+MAcIX8iurCTx9e9fDDD6uwsFB33XWXli9frgULFujtt98u8/CGzWZTcXFxmfYdO3bUjz/+qPbt26tLly7q0qWLdu3apRdeeMGxTGlpqTZu3OgY/+qrrxQSElLmPYrVqWPHjvrpp58c+9ClSxetXbtW77//viTpsssu09atW3X69GlHm88//7y6wgXgA8ivqC4Ui/CqtLQ0JSUlKTU1VZ988onefPNNRUVFqVGjRk7L9ejRQy+99JK++OILvfnmm45C6f7775fdbtfIkSP18ccfa+XKlZowYYLTX7X16tXT3Xffrffee08vvfSS5s+fr6SkpBr1l+/06dP1zjvv6NFHH9V///tfPfnkk5o9e7bjcs9dd92l3NxcjR07VuvXr9fkyZP19ddfV3PUAGoy8iuqTXXfNIna5cCBA2bkyJGmSZMmJjg42CQkJJjPP/+8zHI7d+401157rbHZbKZx48bmgw8+cMz75ptvTGJiogkKCjLNmzc3Dz30kOOG7KVLl5oGDRqYl156yTRp0sSEhoaau+++25w8ebLMNqrzARdjjHnjjTfMb3/7W2Oz2Uy7du3KrCc1NdV07tzZBAUFmX79+pl77rmHB1wAWKpJ+RV1i58x59ycANRwy5YtU1JSkgoLC6s7FACoVcivsMJ5ZQAAAFjizCIAAAAscWYRAAAAligWAQAAYIliEQAAAJYoFgEAAGCpVn7ur7S0VAcPHlRoaGiZb/MCwLmMMSooKFDz5s1rxYuHyX8A3OVu/quVxeLBgwfVokWL6g4DgA/Jzs7WpZdeWt1hXDDyHwBPVZT/amWxGBoaKunMzoeFhVVzNABqsvz8fLVo0cKRN3wd+Q+Au9zNf7WyWDx76SUsLIxkCcAtteWSLfkPgKcqyn++f4MOAAAALhqKRQAAAFiiWAQAAIAlikUAAABYqpUPuAAAUN2OFNpVcKrY7eVDgwIU3dB2ESPyfRzT6kGxiIsq8ZVEj5bfMGbDRYqk9uCYAjXfkUK7Jr+5VUXFJW63CQzw17wRcRQ3Fjim1YdiEQAALys4Vayi4hIlJbZVTERwhcvn5J7Ucxt2q+BUMYWNBY5p9aFYBADgIomJCFZsdIPqDqNW4ZhWPR5wAQAAgCWKRQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWPKoWMzIyFB8fLwiIiI0depUGWMqbLN69Wq1bNlSzZs318qVK8udn5iY6DTNGKPw8HD5+fk5hieeeMKTUAHAq8h/gGtHCu3KOnLc7eFIob26Q4abAtxd0G63a8iQIRowYIBWrVqliRMnatmyZbrjjjss22RkZGjUqFFatGiRevTooZtuuklXXXWVrrjiCklSamqqxowZo/j4eKd2u3fvVnh4uPbt2+eYFhwc7OGuAVUv8ZXEihc6x4YxGy5SJPAm8h/g2pFCuya/uVVFxSVutwkM8Ne8EXGKbmi7iJHBG9wuFtetW6e8vDzNmzdPISEhSk5O1n333ecyWaakpCgxMVHjxo2TJCUlJWn58uV64okntGfPHiUlJem+++7T119/7dRu8+bNuvrqqxUeHl65vQIALyL/Aa4VnCpWUXGJkhLbKiai4j9ucnJP6rkNu1Vwqphi0Qe4fRl669atSkhIUEhIiCSpc+fOyszMrLBN3759HePdu3dXWlqaJCkqKkqbN29Whw4dyrT7+uuv9fXXXys8PFxNmjTR//t//8/lJR+73a78/HynAQC8hfwHuCcmIlix0Q0qHNwpKFFzuF0s5ufnKzY21jHu5+cnf39/5ebmut0mLCxMBw8elCRFRERY/uW8a9cuDRkyROnp6VqxYoVeeOEFvfHGG5bbmTt3rho1auQYWrRo4e5uAUCFyH8A6jK3i8WAgADZbM6nioOCgnTixAm321S0/Fnr1q3T/PnzFRsbq/79+2vixIlavXq15fLTpk1TXl6eY8jOznZjjwDAPeQ/AHWZ2/csRkZGKiMjw2laQUGBAgMDXbY5fPiw28tbadKkiXJycizn22y2MokcALyF/AegLnP7zGJ8fLw2bdrkGM/KypLdbldkZKTbbdLT0xUTE+NyOydPnlSnTp108uRJx7RNmzapZcuW7oYKAF5F/gNQl7ldLPbq1Uv5+flaunSpJCk5OVn9+/eXv7+/jh07ppKSso/LDx8+XKtWrdL27dtVWFioBQsWaMCAAS63ExwcrKZNm2rChAnasmWLnnnmGa1YsUL33nuvh7sGAN5B/gNQl3l0z2JKSoqSkpIUHR2ttWvX6qmnnpJ05mbt7du3l2kTFxenSZMmqVu3boqJiZG/v78mTJhQ4bZefvll7d+/X9dee61efPFFrVq1Sr179/ZgtwDAe8h/AOoyt+9ZlKShQ4dq7969SktLU0JCgqKioiTJ5Wsd5syZo1GjRiknJ0e9e/cuc8/O2LFjNXbsWKdpv/nNb7R+/XpPQgOAi4r8B6Cu8qhYlKRmzZpp8ODBHrXp0KFDue8TAwBfQv4DUBd59G1oAAAA1C0UiwAAALBEsQgAAABLHt+zCAAAqt+RQrsKThVXdxiSpJzckxUvBJ9FsQiflvhKYnWHAABV7kihXZPf3Kqi4rLv+KwugQH+Cg2irKiN+KkCAOBjCk4Vq6i4REmJbRUTEVzd4UiSQoMCFN2QT0/WRhSLAAD4qJiIYMVGN6juMFDL8YALAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAs8W1oAABQLXJyT16UZeFdFItANUp8JbG6QwCAKhcaFKDAAH89t2G3R+0CA/wVGkTpUtU44gAAoEpFN7Rp3og4FZwq9qhdaFCAohvaLlJUsEKxCAAAqlx0QxuFn4/gARcAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIClgOoOAAAA4GLJyT3p9rKhQQGKbmi7iNH4JopFoJZLfCXRo+U3jNlwkSIBgKoTGhSgwAB/Pbdht9ttAgP8NW9EHAXjeSgWAQBArRPd0KZ5I+JUcKrYreVzck/quQ27VXCqmGLxPBSLAACgVopuaKPw8wKPH3DJyMhQfHy8IiIiNHXqVBljKmyzevVqtWzZUs2bN9fKlSvLnZ+YWPZS2aJFi9S0aVO1bt1a69ev9zRUAPAq8h+AusijYtFut2vIkCHq2rWrtmzZoszMTC1btsxlm4yMDI0aNUqPPfaYUlNTNX36dO3cudMxPzU1VWPGjCmTdFNTUzVlyhS99NJLeu211zRu3DgdPXrUk3ABwGvIfwDqKo+KxXXr1ikvL0/z5s1TmzZtlJycrCVLlrhsk5KSosTERI0bN06dOnVSUlKSli9fLknas2ePkpKSdN9995Vpt3jxYo0ZM0bDhg3TNddco2HDhmnNmjWehAsAXkP+A1BXeVQsbt26VQkJCQoJCZEkde7cWZmZmRW26du3r2O8e/fuSktLkyRFRUVp8+bN6tChg0ftzme325Wfn+80AIA3kf8A1FUeFYv5+fmKjY11jPv5+cnf31+5ublutwkLC9PBgwclSREREQoPD/e43fnmzp2rRo0aOYYWLVp4slsAUCHyH4C6yqNiMSAgQDab81NFQUFBOnHihNttKlq+Mu2mTZumvLw8x5CdnV3h+gHAE+Q/AHWVR6/OiYyMVEZGhtO0goICBQYGumxz+PBht5evTDubzVYmiQOAN5H/ANRVHp1ZjI+P16ZNmxzjWVlZstvtioyMdLtNenq6YmJiPN6Wu+0A4GIg/wGoqzwqFnv16qX8/HwtXbpUkpScnKz+/fvL399fx44dU0lJSZk2w4cP16pVq7R9+3YVFhZqwYIFGjBgQIXbuvnmm/X8888rJydHP//8s5YsWeJWOwC4GMh/AOoqj+9ZTElJUVJSkqKjo7V27Vo99dRTks7crL19+/YybeLi4jRp0iR169ZNMTEx8vf314QJEyrc1pAhQ9SvXz+1bdtWsbGxuvLKK3XTTTd5Ei4AeA35D0Bd5fHn/oYOHaq9e/cqLS1NCQkJioqKkiSXXzKYM2eORo0apZycHPXu3bvMvTdjx47V2LFjnab5+flp+fLlmjhxoo4fP67evXvLz8/P03ABwGvIfwDqokp9G7pZs2YaPHiwR206dOhQ7vvEKhIfH+9xGwC4WMh/AM46UmhXwalit5cPDQrwyW9VV6pYBICzEl8p+11jVzaM2XCRIgGAqnOk0K7Jb25VUXHZ+5WtBAb4a96IOJ8rGCkWAQAAPFRwqlhFxSVKSmyrmIjgCpfPyT2p5zbsVsGpYopFAACAuiImIlix0Q2qO4yLyqOnoQEAAFC3UCwCAADAEsUiAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiAAAALAVUdwAAANR0RwrtKjhV7PbyObknK7Udd9tVdv2ofp787EKDAhTd0HYRo3EPxSLclvhKYq3YBqqXpz/jDWM2XKRIAPccKbRr8ptbVVRc4lG7wAB/hQa597/Z0KAABQb467kNuy/K+lH9KvsznjcirtoLRnoZAAAuFJwqVlFxiZIS2yomItjtdp6cFYpuaNO8EXEenb2sKWed4B5Pf8Y5uSf13IbdKjhVXO0/Z4pFAADcEBMRrNjoBhdt/dENbdVeFODi8tWfMQ+4AAAAwBLFIgAAACxRLAIAAMASxSIAAAAseVwsZmRkKD4+XhEREZo6daqMMRW2Wb16tVq2bKnmzZtr5cqVTvMWLVqkpk2bqnXr1lq/fr1j+tGjR+Xn5+c0vPbaa56GCwBeQ/4DUBd5VCza7XYNGTJEXbt21ZYtW5SZmally5a5bJORkaFRo0bpscceU2pqqqZPn66dO3dKklJTUzVlyhS99NJLeu211zRu3DgdPXpUkpSWlqbrrrtOubm5juHWW2+t3F4CwAUi/wGoqzwqFtetW6e8vDzNmzdPbdq0UXJyspYsWeKyTUpKihITEzVu3Dh16tRJSUlJWr58uSRp8eLFGjNmjIYNG6ZrrrlGw4YN05o1ayRJmzdvVs+ePRUeHu4Y6tevX8ndBIALQ/4DUFd5VCxu3bpVCQkJCgkJkSR17txZmZmZFbbp27evY7x79+5KS0urcN7XX3+tt99+Ww0bNlSLFi20cOFCy23Y7Xbl5+c7DQDgTeQ/AHWVR8Vifn6+YmNjHeN+fn7y9/dXbm6u223CwsJ08ODBCuft2bNHY8eOVWZmpubNm6eHHnpIX375ZbnbmDt3rho1auQYWrRo4cluAUCFyH8A6iqPvuASEBAgm835zeNBQUE6ceKEIiIi3GpzdvmK5n333XeO6b/5zW+0bt06rV69WgkJCWW2MW3aNE2ePNkxnp+fT8IE4FXkPwB1lUfFYmRkpDIyMpymFRQUKDAw0GWbw4cPl7u8q3nna9Kkifbv31/uPJvNViaJA4A3kf8A1FUeXYaOj4/Xpk2bHONZWVmy2+2KjIx0u016erpiYmJcztu/f7969uzp9FqKTZs2qWXLlp6ECwBeQ/4DUFd5VCz26tVL+fn5Wrp0qSQpOTlZ/fv3l7+/v44dO6aSkpIybYYPH65Vq1Zp+/btKiws1IIFCzRgwABJ0s0336znn39eOTk5+vnnn7VkyRINGDBAv/nNb/TLL7/okUceUVpamh555BF9+eWX+vOf/+yFXQYAz5H/ANRVHhWLAQEBSklJUVJSkqKjo7V27Vo99dRTkqSIiAht3769TJu4uDhNmjRJ3bp1U0xMjPz9/TVhwgRJ0pAhQ9SvXz+1bdtWsbGxuvLKK3XTTTfJz89Pb731lv7zn//ommuu0b///W99+OGHatu2rRd2GQA8R/4DUFd5dM+iJA0dOlR79+5VWlqaEhISFBUVJUkuv2QwZ84cjRo1Sjk5Oerdu7fjvhw/Pz8tX75cEydO1PHjx9W7d2/5+flJOvNaii1btlRmnwDgoiD/AaiLPC4WJalZs2YaPHiwR206dOigDh06lDsvPj6+MmEAQJUj/wGoazz+NjQAAADqDopFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIClSn0bGgAAoDbKyT3p1eUulKfbCQ0KUHRDm1djoFgE4CTxlcTqDsFJZeLZMGbDRYgEQG0WGhSgwAB/Pbdht9ttAgP8FRp0cUqpysRzNqZ5I+K8WjBSLAIAgDovuqFN80bEqeBUsdttLsZZvAuJJyf3pJ7bsFsFp4opFgEAALwtuqHtohV/lVFT4uEBFwAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWOLb0ABQxx0ptKvgVLFHbUKDAi7qN2srE9PFkpN7srpDAKoVxeL/L/GVRI/bbBiz4SJE8j+ViQkAPHGk0K7Jb25VUXGJR+0CA/w1b0TcRSkYKxvTxRQY4K/QIP6XibqJng8AdVjBqWIVFZcoKbGtYiKC3WqTk3tSz23YrYJTxRelWKxMTBfbxT6TCtRkFIsAAMVEBCs2ukF1h+GkJsYE1EU84AIAAABLFIsAAACwRLEIAAAASxSLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLFIsAAACwRLEIAAAASx4XixkZGYqPj1dERISmTp0qY0yFbVavXq2WLVuqefPmWrlypdO8RYsWqWnTpmrdurXWr1/vNO/RRx9VRESEOnfurG3btnkaKgB4FfkPQF3kUbFot9s1ZMgQde3aVVu2bFFmZqaWLVvmsk1GRoZGjRqlxx57TKmpqZo+fbp27twpSUpNTdWUKVP00ksv6bXXXtO4ceN09OhRSdKLL76oF198Uf/617/0xBNPaOTIkSoqKqrcXgLABSL/AairPPo29Lp165SXl6d58+YpJCREycnJuu+++3THHXdYtklJSVFiYqLGjRsnSUpKStLy5cv1xBNPaPHixRozZoyGDRsmSRo2bJjWrFmjcePGafHixZoyZYquu+46SdLSpUv13//+V/379y+zDbvdLrvd7hjPy8uTJOXn57u9b8Uni91e9ixP1l8ZlYkJgGe/m2eXregsYW3NfwUFx3X65HEVFOQrP7DEoza7sn9RQUGQW2088dOxUx7HBMDz32d385+MB2bOnGkGDRrkGC8tLTUREREu2/Tp08c89dRTjvEvvvjCDBw40BhjTKtWrcwbb7zhmLdixQpzzz33mNLSUlOvXj3z1VdfOeYlJyebJ598stxtzJgxw0hiYGBgqPSQnZ1N/mNgYKiTQ0X5z6Mzi/n5+YqNjXWM+/n5yd/fX7m5uYqIiHCrTVhYmA4ePOhyXmFhoUpLS8vM27VrV7nbmDZtmiZPnuwYLy0t1a+//qqoqCj5+fl5sotlYm/RooWys7MVFhZW6fVUB1+N3Vfjlnw3dl+NW/JO7MYYFRQUqHnz5hVui/znG3w1dl+NW/Ld2H01bqlq859HxWJAQIBsNpvTtKCgIJ04ccIyWZ7f5uzyruYFBJwJy6rd+Ww2W5m4wsPD3d+xCoSFhflcJzrLV2P31bgl343dV+OWLjz2Ro0aVbgM+c/3+Grsvhq35Lux+2rcUtXkP48ecImMjNThw4edphUUFCgwMNDtNucubzUvODhYwcHBlu0AoKqR/wDUVR4Vi/Hx8dq0aZNjPCsrS3a7XZGRkW63SU9PV0xMTIXzunXrZjkPAKoa+Q9AneXyjsbznD592jRu3Ni8/PLLxhhjxo0bZ2644QZjjDG5ubmmuLi4TJtvv/3WNGjQwGzbts0UFBSYLl26mH/84x/GGGPWrl1rLrnkEnPgwAFz6NAhExMTY1avXm2MMebZZ581HTt2NHl5eWbnzp0mJCTEbNmyxZNwL9ipU6fMjBkzzKlTp6p0u97gq7H7atzG+G7svhq3MVUbO/nPd/hq7L4atzG+G7uvxm1M1cbuUbFozJkEFxISYqKiokzjxo3Nd999d2ZFkklPTy+3zSOPPGICAwNNWFiY6dq1qzlx4oQx5szThKNHjzbBwcEmODjY3HDDDaa0tNQYc+Yg9O3b14SGhprAwEAzYcKESu4iAHgH+Q9AXeRnjBufIDjPoUOHlJaWpoSEBEVFRbnVJjMzUzk5Oerdu3eZe282b96s48ePq3fv3k5P75WWlurzzz+XzWZT9+7dPQ0TALyO/AegrqlUsQgAAIC6weNvQwMAAKDuoFgEAACApTpfLB45ckSxsbHat2+fY9ratWvVunVrBQQEqEuXLtqxY4dj3sSJE+Xn5+cYLrvssmqI+ozyYncVX0ZGhuLj4xUREaGpU6dW/C3Ii+T8uJctW+YU89lh2bJlkqShQ4c6TS/v+7hVwapfuDqun376qdq3b6/o6GjNmzevRsXtC/3cKkZf6Oe+gPxX9ch/NSNuX+jnNSr/VdeTNTXB4cOHTY8ePYwkk5WVZYwxZs+ePSYiIsK88cYb5tChQ+aWW24x11xzjaPN1Vdfbd5//32Tm5trcnNzTX5+fo2J3VV8p06dMq1atTJ333232bNnj/n973/veAVIdcdtt9sd8ebm5prs7GwTHR1t9uzZY4wx5pJLLjHbt293zC8sLKzyuK36havj+ssvv5iwsDAza9Yss2vXLnPVVVeZ9evX14i4faGfu4qxpvdzX0D+I/+5i/xH/qvTxWK/fv3Ms88+6/SL++6775oXX3zRscz69etNcHCwMebMe9bCwsJMQUFBdYTrpLzYXcW3Zs0aExERYY4fP26MOfP+t549e1ZlyMaY8uM+35w5c8z48eONMcYcOHDANGvWrAojLJ9Vv3B1XJ955hnTrl07x+tQ3nnnHTNq1KgaEbcv9HOrGH2hn/sC8h/5z13kv6pX0/JfnS4Wf/jhB2OMcfmLu3jxYtO5c2djjDHffPONadiwoWnTpo0JCgoyAwYMMPv376+qcJ2UF7ur+GbOnGkGDRrkaF9aWmoiIiJqRNznOnnypGnSpIlj3ttvv20aN25sYmJiTEhIiLn11lvNr7/+WoURl+9sv3B1XMeOHWvuvfdex7yDBw+adu3aVXms5zq3P1tNr0n9/FxnY/SFfu4LyH/kv8oi/1W96s5/dfqexdjYWJfzi4qK9PTTT+uee+6RdOZdaVdccYWWL1+ubdu2KSAgQHfddVdVhFpGebG7ii8/P9+pjZ+fn/z9/ZWbm1tlMUsVH/MVK1aoR48eatWqlSTp+++/V1xcnN5//319+eWXysrK0rRp06ogUmvn9gtXx/X8eWFhYTp48GB1hCypbH+2ml6T+nl5MfpCP/cF5D/yX2WQ/6pejch/Xik5fZws/sp7+OGHTVxcnCkqKiq33f79+029evVMXl7eRY7QmlXsxjjH99BDD5kHH3zQaf6ll15qDhw4UAVRlmUVd3x8vHn//fct23366acmKirqIkZWsXP7havjOmLECPPss886phcXF5uAgICqDtfBqj/7Qj93FWNN7ue+gPxX9ch/VY/8d2ECLrzcrJ3Wr1+vRYsW6csvv1T9+vXLXaZJkyYqLS3VTz/9pLCwsCqOsGLnxhcZGamMjAyn+QUFBWW+JlGd9uzZoz179uh3v/ud5TJNmjTR0aNHZbfbZbPZqjC6M87vF66Oa2RkpA4fPlxmenWw6s++0M8ritHX+rkv8IV+URFf6xfkv4uH/OeF437B5WYtoPP+yvvhhx9MkyZNzKuvvuq03JQpU8zrr7/uGF+/fr2pV6+e42bS6nBu7K7i+/jjj02bNm0c83744QcTFBRkiouLqzpkY0z5f1nPmTPH3H777U7TRowYYTZu3OgYf/nll03Tpk2rIsQyyusXro7rkiVLTL9+/Rzz1q9fb9q2bVulMZ+Nqbz+7Av9vLwYfamf+wLyX9Uj/1Ud8p93+jnFonH+xT1x4oTp0KGDGT9+vCkoKHAMpaWlZvny5SY2NtZ89NFHJjU11Vx++eVm7NixNSZ2V/GdPn3aNG7c2PEY/bhx48wNN9xQXWGXmyyvu+46s2TJEqdpjz/+uOnWrZvZuHGjWbNmjWnatKmZOXNmFUZ6hlW/KCoqsjyuhw8fNkFBQeY///mPKSoqMgMHDjRJSUk1Im5f6OdWMb766qs+0899Afmv6pH/qjduX+jnNS3/USwa51/cd955x0gqM5yd//DDD5tGjRqZyMhIM3HixGp559W5zk86ruJbu3atCQkJMVFRUaZx48bmu+++q4aIzzg/7hMnTpjAwECzY8cOp+WKiorMnXfeaRo0aGCaNWtmZs2aZU6fPl3F0bruF66O6+LFi039+vVNRESEiY2NNYcOHaoRcc+fP7/G93NXx9xX+rkvIP9VPfJf9cZN/vOcnzF83qAuOXTokNLS0pSQkKCoqKjqDqfWcHVcs7Ky9P333+u6665Tw4YNqynCuoV+jvLQLy4O8l/NcjH6OcUiAAAALNXp9ywCAADANYpFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWKJYhNd88skn8vPz05EjR6o7lItq7NixGjt2rFfXefbYAbhwdSUX1TSVzWOe/LyWLVumVq1aVSI6XAiKRdRKM2fO1L59+6o7DACAFw0ZMkTvvvtudYdR51AsolaaNWsWxSIA1DJRUVHq1KlTdYdR51AsAgAAwBLFIrzu/fffV+vWrdWgQQONHDlSx44dc8x75pln1Lp1a4WEhKhLly766KOPnNqevR/wwIED+uMf/6jo6Gjt37/fMb+goEB33nmnmjZtqrCwMA0ePFg//vijpP/d93L2npnExET5+fmVub9l8+bN6tWrlxo2bKiYmBg9/PDDMsY45hcVFWnKlClq0qSJwsPDdcMNN2jv3r2W+3v//ferefPm+uGHHxzTtm3bpv79+yskJEStW7fW/Pnzndrs3r1biYmJCgoKUpcuXbR161a3ji0A97nKRdKF56MLNXPmTPXp08dp2rn35J3NaYcOHdKQIUPUoEEDXXbZZfr3v//tWL60tFSzZ89WixYtFBoaqoEDBzrlIkmaP3++YmNjFRoaqqSkJPXq1UszZ850KwZJ+vnnnzVy5EhFRUUpMjJSI0aMuCj3g1b08yovtrPO/qzeffddtW/fXg0aNNCgQYOc4vz+++91/fXXq1GjRmrSpIkmTJigoqIir+9HbUSxCK97+OGH9eSTTyolJUXr16/XPffcI0l6/fXXNWXKFD344IP68MMPdc011+jmm29WQUGBU/tff/1VPXv2VP369TVz5kxFRkY65j322GNau3atFi9erDfeeEO5ubm66667JEldu3bV5s2btXnzZknSCy+8oM2bNzvd31JQUKCBAwcqIiJCH3zwgf7+97/rueee02uvveZYZsyYMXrllVf0t7/9TatXr1ZeXp4GDhyo06dPl9nXxx9/XCtWrNCHH36o1q1bS5KOHj2qvn37KjQ0VB988IEeeOABTZkyRUuWLJEklZSU6A9/+IOOHj2qt99+W+PGjdOjjz7qjUMP4BxWuUjyTj6qKoMGDdIVV1yhf/3rX2rZsqX+9Kc/qbS0VNKZHPT0009r9uzZeuedd1RQUKD+/furuLhYkvTqq6/qL3/5i+68806tWbNGO3fu1Oeff+7R9kePHq1vv/1Wr732mlauXKmMjAz99a9/9fp+uvp5uWPLli2699579eijj2rp0qX64osv9OSTTzrmny1A16xZo4ULF2r16tWaN2+et3ejdjKAl2zYsMFIMkuWLHFMe+mll4yfn585ePCg+e9//2tWr17tmPf1118bSearr75yTBszZoyRZObPn1/uNoYOHWquvvpqx/jevXvNRx99VGY5SWbDhg1lph86dMj83//9n/nll1+MMcacPHnSXHXVVebee+81xhiza9cuI8ksX77c0Wbr1q1m+PDhJjs72xHjmDFjzIsvvmgkmc8++8xpGzNnzjSNGzc2drvdMe3GG280vXr1MsYYs27dOiPJfP311475Dz74oOHXEfCOinKRMcYr+ehCzZgxw/Tu3dtp2tKlS03Lli2d9uP+++8vE+eBAwfMyZMnTVBQkJk3b55j/tatW40ks379emOMMV27djVDhw51zD9y5IgJDg42M2bMcCsGY4x5+eWXzdatWx3j9913n2nfvn2Z/Tkbr6fc+XlZxXbWmDFjjJ+fn9m8ebNj2oQJE0z//v0d42FhYWbatGmO8a+//tqkp6d7HG9dxJlFeF3v3r0d/+7evbuMMdqzZ4+uu+462Ww2jR8/Xh06dNA111wjSTpx4oRT+9/+9re6//77y133uHHjlJaWpvj4eE2ePFnfffedEhMT3Y6tadOm6tOnjxYuXKjevXsrKipK3377rSOG9PR0SdK1117raNO5c2etXr1al156qWPaZ599pgceeECRkZHavn270za2bdumw4cPy2azOS6Lr1mzRrt375Yk7dq1SwEBAerataujTa9evdzeBwDuscpFkrySjy6Gs2cMz5WUlOT4d+PGjSVJp0+f1u7du3Xq1ClNnjzZkWvi4uIkyZFv9uzZo/j4eEf7qKgotWvXzqMYbrrpJq1fv15Dhw5VkyZNtHjx4jLHyRtc/bzckZCQoG7dujnGGzdu7HRFaMKECfrb3/6mgQMHasaMGZKkLl26XHjgdQDFIryuXr3/dSt/f39JZy69TpkyRX/84x8VHh6uxx9/XAcOHCi3fbdu3ZzWca4hQ4Zo165dGj9+vA4fPqwRI0bolltucTu2LVu2qGPHjvr22281evRoff7557r99tsd88059y6eO+2zzz7ToUOHHNP27dun1157TbNnz9b06dOVn5/v1KZ79+5KT093Gj788ENJZxLxufdWSv87TgC8xyoXSfJKProYsrOzy0xr06aNyzYvv/xymXxz0003STpzDM7Pa+UVpFYxFBQU6Morr9SyZcvUp08fvfnmm1q8eLG7u+MRVz8vd1R0nObOnauvvvpK/fr101dffaXu3btr4cKFlQu2jqFYhNedez/Mli1bJEmXXXaZlixZosmTJ+vvf/+7hg8frtzcXI/X/fDDD6uwsFB33XWXli9frgULFujtt98usy6bzea4Z+dcr7/+upo1a6Z//etfGj9+vOLi4rRr1y7H/LN/ZW7cuNExbd++fbruuusc90JK0q233qqbbrpJd911l8LCwvTEE0845nXs2FE//vij2rdvry5duqhLly7atWuXXnjhBcexOH36tLZt21buMQPgHVa5SJJX8tGFCggIcDpDV1paqrfeeqvMclZ/TF522WWy2WwqKChw5Jr27dvrmWeeceSXtm3b6ssvv3S0+eWXX/T999+7HcP69euVlZWlNWvWaPLkyerTp0+ZB2i8xdXPyx2u/ug+cOCAHnjgAXXs2FFTp07Vv//9b912221KSUmpfMB1SEB1B4Da569//auCgoJUWlqqRx55RMOGDdOll16q6Ohoffjhh+rXr5927tzpeBqvvKLOSlpamr766is9/PDDstlsevPNNxUVFaVGjRo5LdejRw+99NJLCgkJ0YEDBxQTE6OePXsqOjpaP/30k9588001bNhQCxcu1KZNmxwPp1xxxRW65ZZbNHnyZJWUlOjSSy/VnDlz1KZNG/Xt29ex/vr16zv++/jjj+uOO+7Qvffeq9jYWN1///1auHChRo4cqaSkJP3yyy+6//77ddttt0mSBgwYoMsuu0x33nmnnnjiCe3fv5+/boGLwCoXSfJKPtq3b59OnDihDh06VCq+uLg4zZ49W5s3b1aHDh3017/+VT///LOCg4Pdah8cHKyHHnpIM2fOlM1mU/v27fXiiy/q3Xff1axZsyRJkyZN0ujRozVz5kz17NlTycnJTmfrKoohOjpa0pmnkPv27au33npLixYt0iWXXFKpfXbF1c/rQoWHh+vVV19VUVGR40GXzz//XFdeeaVX1l/rVecNk6hdzt6k/Nxzz5mYmBgTHh5uRo8ebX799VdjjDGff/65ufLKK43NZjOXX365efXVV010dLTjRmtj/vfwiJUDBw6YkSNHmiZNmpjg4GCTkJBgPv/88zLL7dy501x77bXGZrOZxo0bmw8++MAYY0xhYaEZOXKkCQ0NNZGRkWb8+PHmnnvuMZdddpk5ffq0MebMQy8PPvigiY6ONuHh4WbYsGHmhx9+sIyxtLTUdOnSxdx8882Oad98841JTEw0QUFBpnnz5uahhx5yeuBlz5495ne/+51p0KCBadeunZkzZw4PuABeUlEuMsY7+WjMmDEmLi6u0nGWlpaapKQkEx4ebpo2bWomTZpkXnjhhTIPuJwrKyvLSDJZWVnGGGOKi4vNjBkzTExMjAkODjY9e/Y0X3zxhVOb5ORk06RJExMaGmomT55sevXq5djPimIwxpjHH3/cNG3a1AQHB5sBAwaYZ555xtSrV8/s3bvXaTsX+oCLq5/XWa4ecDn/Z3X+wztffPGF6d27twkLCzONGjUyf/jDH0xOTo7H8dZFfsaUc5MWAABw6fvvv9c//vEPn7uU2adPH/Xp08dxNhWoCPcsAgBQCe+8847H7wIEfBFnFgEAAGCJM4sAAACwRLEIAAAASxSLAAAAsOS1YjEjI0Px8fGKiIjQ1KlTy/0SxvlWr16tli1bqnnz5lq5cqVjujFG4eHhjq9c+Pn5Ob30GABqEvIfgNrMKy/lttvtGjJkiAYMGKBVq1Zp4sSJWrZsme644w7LNhkZGRo1apQWLVqkHj166KabbtJVV12lK664Qrt371Z4eLj27dvnWN7dl5RKZ95Af/DgQYWGhjp9Ug0AzmeMUUFBgZo3b16pz7qR/wD4Krfznzde1rhmzRoTERFhjh8/bowx5ttvvzU9e/Z02WbSpElmwIABjvH58+ebRx991BhjzGuvvWZGjhxZ6Xiys7ONJAYGBga3h+zs7ErlG/IfAwODrw8V5T+vnFncunWrEhISFBISIknq3LmzMjMzK2wzaNAgx3j37t01e/ZsSdLXX3+tr7/+WuHh4QoMDNRdd92lxx9/3PKvZLvdLrvd7hg3//8loOzsbIWFhV3QvgGo3fLz89WiRQuFhoZWqj35D4Cvcjf/eaVYzM/PV2xsrGPcz89P/v7+ys3NVUREhFttwsLCdPDgQUnSrl27NGTIEE2aNEl79+7VyJEj1bFjR40cObLcdc2dO9fxHcxzhYWFkSwBuKWyl2zJfwB8XUX5zysPuAQEBMhmszlNCwoK0okTJ9xuc+7y69at0/z58xUbG6v+/ftr4sSJWr16teW6pk2bpry8PMeQnZ19gXsEAO4h/wGo7bxyZjEyMlIZGRlO0woKChQYGOiyzeHDh91avkmTJsrJybFcl81mK5OsAaAqkP8A1HZeObMYHx+vTZs2OcazsrJkt9sVGRnpdpv09HTFxMTo5MmT6tSpk06ePOmYt2nTJrVs2dIboQKAV5H/ANR2XikWe/Xqpfz8fC1dulSSlJycrP79+8vf31/Hjh1TSUlJmTbDhw/XqlWrtH37dhUWFmrBggUaMGCAgoOD1bRpU02YMEFbtmzRM888oxUrVujee+/1RqgA4FXkPwC1XqXfz3CetWvXmpCQEBMVFWUaN25svvvuO2POPJZn0tPTy23zyCOPmMDAQBMWFma6du1qTpw4YYwxZv/+/SYxMdHYbDZzxRVXmNWrV3sUS15enpFk8vLyLmifANR+3sgX5D8AvsjdfOFnjBufGnDToUOHlJaWpoSEBEVFRbnVJjMzUzk5Oerdu7fLe3w8kZ+fr0aNGikvL4+nAVE1ZjaqYH5e1cQBj3krX5D/UGeR/3yWu/nCKw+4nNWsWTMNHjzYozYdOnRQhw4dvBkGAFQ58h+A2spr34YGAABA7UOxCAAAAEsUiwAAALBEsQgAAABLFIsAAACwRLEIAAAASxSLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLFIsAAACwRLEIAAAASxSLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLFIsAAACwRLEIAAAASxSLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLFIsAAACw5NViMSMjQ/Hx8YqIiNDUqVNljKmwzerVq9WyZUs1b95cK1euLHeZH374QSEhId4MFQC8ivwHoLbyWrFot9s1ZMgQde3aVVu2bFFmZqaWLVvmsk1GRoZGjRqlxx57TKmpqZo+fbp27txZZrl77rlHJ0+e9FaoAOBV5D8AtZnXisV169YpLy9P8+bNU5s2bZScnKwlS5a4bJOSkqLExESNGzdOnTp1UlJSkpYvX+60zPLly3XgwAFvhQkAXkf+A1Cbea1Y3Lp1qxISEhyXSzp37qzMzMwK2/Tt29cx3r17d6WlpTnGjx49qqlTpyolJcXleux2u/Lz850GAKgq5D8AtZnXisX8/HzFxsY6xv38/OTv76/c3Fy324SFhengwYOO8cmTJ+vWW2/VNddc43Lbc+fOVaNGjRxDixYtLmBPAMAz5D8AtZnXisWAgADZbDanaUFBQTpx4oTbbc5d/uOPP9bGjRuVnJxc4banTZumvLw8x5CdnV3JvQAAz5H/ANRmAd5aUWRkpDIyMpymFRQUKDAw0GWbw4cPl1n+1KlTuueee/Tiiy+qQYMGFW7bZrOVSdQAUFXIfwBqM6+dWYyPj9emTZsc41lZWbLb7YqMjHS7TXp6umJiYvTVV19p7969uuWWWxQeHq7w8HBJUnh4uD777DNvhQwAXkH+A1Cbea1Y7NWrl/Lz87V06VJJUnJysvr37y9/f38dO3ZMJSUlZdoMHz5cq1at0vbt21VYWKgFCxZowIAB6tGjh3744Qd9++23jkGSvv32W3Xr1s1bIQOAV5D/ANRmXrsMHRAQoJSUFP3xj3/U1KlTVa9ePX3yySeSpIiICKWnp6tLly5ObeLi4jRp0iR169ZNQUFBatu2rSZMmKCgoCC1atWqzDbKmwYA1Y38B6A28zPufGbAA4cOHVJaWpoSEhIUFRXlVpvMzEzl5OSod+/eLu/xcVd+fr4aNWqkvLw8hYWFXfD6gArNbFTB/LyqiQMe82a+IP+hTiL/+Sx384XXziye1axZMw0ePNijNh06dFCHDh28HQoAVCnyH4DayKvfhgYAAEDtQrEIAAAASxSLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLFIsAAACwRLEIAAAASxSLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLFIsAAACwRLEIAAAASxSLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLFIsAAACwRLEIAAAASwHVHQBQp8xs5GJeXtXFAQBVjfznszizCAAAAEs1uljcs2eP0tPTVVJSUt2hAECVIv8BqCm8VixmZGQoPj5eERERmjp1qowxFbZZvXq1WrZsqebNm2vlypWO6aWlpbrlllvUq1cv/eEPf1DHjh31yy+/eCtUAPAq8h+A2swrxaLdbteQIUPUtWtXbdmyRZmZmVq2bJnLNhkZGRo1apQee+wxpaamavr06dq5c6ck6dVXX9WhQ4e0f/9+ZWVlqXnz5nr++ee9ESoAeBX5D0Bt55Vicd26dcrLy9O8efPUpk0bJScna8mSJS7bpKSkKDExUePGjVOnTp2UlJSk5cuXS5KaNm2qhQsXqn79+qpXr57i4uJ09OhRb4QKAF5F/gNQ23mlWNy6dasSEhIUEhIiSercubMyMzMrbNO3b1/HePfu3ZWWliZJGjRokLp06SJJ2rdvn/75z3/qD3/4g+W67Ha78vPznQYAqArkPwC1nVeKxfz8fMXGxjrG/fz85O/vr9zcXLfbhIWF6eDBg07LTJ8+XZdffrkGDx6sfv36Wa5r7ty5atSokWNo0aLFBewNALiP/AegtvNKsRgQECCbzeY0LSgoSCdOnHC7TXnLP/TQQ1q2bJneeOMNvfvuu5brmjZtmvLy8hxDdnZ2JfcEADxD/gNQ23nlpdyRkZHKyMhwmlZQUKDAwECXbQ4fPuxy+YYNG+q2227Tzp079fLLL2vIkCHlrstms5VJ1gBQFch/AGo7r5xZjI+P16ZNmxzjWVlZstvtioyMdLtNenq6YmJiJEl//etftWHDBse8wMBA+fv7eyNUAPAq8h+A2s4rxWKvXr2Un5+vpUuXSpKSk5PVv39/+fv769ixY+W+VHb48OFatWqVtm/frsLCQi1YsEADBgyQJLVo0UJ33323tmzZovT0dL344ou65ZZbvBEqAHgV+Q9AbeeVy9ABAQFKSUnRH//4R02dOlX16tXTJ598IkmKiIhQenq64+m+s+Li4jRp0iR169ZNQUFBatu2rSZMmCBJuu+++/Tjjz9q4MCBstlsmjJlim699VZvhAoAXkX+A1Db+Rl3PjXgpkOHDiktLU0JCQmKiopyq01mZqZycnLUu3dvl/f4eCI/P1+NGjVSXl6ewsLCvLJOwKWZjSqYn1fxcmeXQZXyVr4g/6HOIv/5LHfzhVfOLJ7VrFkzDR482KM2HTp0UIcOHbwZBuBdVZ3g3E28qFHIf6iVyH+QF78NDQAAgNqHYhEAAACWKBYBAABgiWIRAAAAligWAQAAYIliEQAAAJa8+uocwKfwigYAdRX5Dx7gzCIAAAAsUSwCAADAEsUiAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiAAAALFEsAgAAwBLFIgAAACxRLAIAAMASxSIAAAAsUSwCAADAEsUiAAAALFEsAgAAwJLXisWMjAzFx8crIiJCU6dOlTGmwjarV69Wy5Yt1bx5c61cudIxvaSkRPfee6/CwsIUEhKi8ePHq7i42FuhAoBXkf8A1GZeKRbtdruGDBmirl27asuWLcrMzNSyZctctsnIyNCoUaP02GOPKTU1VdOnT9fOnTslSU8++aTS09P15Zdf6osvvtDatWu1dOlSb4QKAF5F/gNQ23mlWFy3bp3y8vI0b948tWnTRsnJyVqyZInLNikpKUpMTNS4cePUqVMnJSUlafny5ZKkI0eOaMWKFerQoYO6dOmiQYMGKT093RuhAoBXkf8A1HZeKRa3bt2qhIQEhYSESJI6d+6szMzMCtv07dvXMd69e3elpaVJkp555hm1bt3aMW/nzp1q27at5brsdrvy8/OdBgCoCuQ/ALWdV4rF/Px8xcbGOsb9/Pzk7++v3Nxct9uEhYXp4MGDZZbbsGGDMjIyNHr0aMt1zZ07V40aNXIMLVq0qOSeAIBnyH8AajuvFIsBAQGy2WxO04KCgnTixAm325S3/PHjxzV+/HjNmDFDjRs3tlzXtGnTlJeX5xiys7MruScA4BnyH4DaLsAbK4mMjFRGRobTtIKCAgUGBrpsc/jwYZfLJyUl6Te/+Y3+8pe/uNy+zWYrk6wBoCqQ/wDUdl45sxgfH69NmzY5xrOysmS32xUZGel2m/T0dMXExDjGn3/+eX344YdauXKl6tXjdZAAaibyH4DazitZqFevXsrPz3e83iE5OVn9+/eXv7+/jh07ppKSkjJthg8frlWrVmn79u0qLCzUggULNGDAAEln7tOZPHmyXnnlFTVo0ECFhYU6efKkN0IFAK8i/wGo7bx2z2JKSoqSkpIUHR2ttWvX6qmnnpIkRUREaPv27WXaxMXFadKkSerWrZtiYmLk7++vCRMmSJIWLFggu92u3/3udwoNDVVoaKgGDRrkjVABwKvIfwBqO6/csyhJQ4cO1d69e5WWlqaEhARFRUVJkssvGcyZM0ejRo1STk6Oevfu7bhnZ82aNd4KCwAuOvIfgNrMa8WiJDVr1kyDBw/2qE2HDh3UoUMHb4YBAFWO/AegtuLOaQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFiiWAQAAIAlikUAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFgKqO4AgItiZqMK5udVTRwAUNXIf/AyikXUSa0efl/7gipeRpLL5dxZxtvrKq+Nt+x7crBX1weg5iH/lY/8Z43L0AAAALBEsQgAAABLFIsAAACwRLEIAAAASxSLAAAAsMTT0ICvmtnI8snBVqdWVG0sAFCVyH9VijOLAAAAsMSZRXiMd1sBqKvIf6iLvHZmMSMjQ/Hx8YqIiNDUqVNljKmwzerVq9WyZUs1b95cK1euLHd+YmKit0IEgIuC/AegNvNKsWi32zVkyBB17dpVW7ZsUWZmppYtW+ayTUZGhkaNGqXHHntMqampmj59unbu3OmYn5qaqjFjxriVdAGgupD/ANR2XikW161bp7y8PM2bN09t2rRRcnKylixZ4rJNSkqKEhMTNW7cOHXq1ElJSUlavny5JGnPnj1KSkrSfffd543wAOCiIf8BqO28Uixu3bpVCQkJCgkJkSR17txZmZmZFbbp27evY7x79+5KS0uTJEVFRWnz5s3q0KGDW9u32+3Kz893GgCgKpD/ANR2XnnAJT8/X7GxsY5xPz8/+fv7Kzc3VxEREW61CQsL08GDByXJso2VuXPnatasWZWIHDXVhd5E7snH6IELQf6Dt5H/UNN45cxiQECAbDab07SgoCCdOHHC7TYVLe/KtGnTlJeX5xiys7MrtR4A8BT5D0Bt55Uzi5GRkcrIyHCaVlBQoMDAQJdtDh8+7PbyrthstjLJGgCqAvkPQG3nlTOL8fHx2rRpk2M8KytLdrtdkZGRbrdJT09XTEyMN8IBgCpD/gNQ23mlWOzVq5fy8/O1dOlSSVJycrL69+8vf39/HTt2TCUlJWXaDB8+XKtWrdL27dtVWFioBQsWaMCAAd4IBwCqDPkPQG3ntXsWU1JSlJSUpOjoaK1du1ZPPfWUpDM3a2/fvr1Mm7i4OE2aNEndunVTTEyM/P39NWHCBG+EAwBVhvwHoLbz2uf+hg4dqr179yotLU0JCQmKioqSJJcvlZ0zZ45GjRqlnJwc9e7du8w9O2PHjtXYsWO9FSIAXBTkPwC1mVe/Dd2sWTMNHuzZdy47dOjg9vvEAEnaF3Sb5bxWp1ZUYSTA/5D/UBXIf6gOXvs2NAAAAGofikUAAABYolgEAACAJYpFAAAAWKJYBAAAgCWKRQAAAFjy6qtzANQ+rR5+36vr2/ekZ6+XAYDqQv47gzOLAAAAsESxCAAAAEsUiwAAALBEsQgAAABLPOACoNpxEzmAusoX8h9nFgEAAGCJYhEAAACWKBYBAABgiWIRAAAAligWAQAAYIliEQAAAJYoFgEAAGCJYhEAAACWeCk3qsS+oNtczM0785+Zjc5ZvuxSrU6t8G5QAFAFyH/wdZxZBAAAgCXOLNYyvvDZIAC4GMh/wMXBmUUAAABY8mqxmJGRofj4eEVERGjq1KkyxlTYZvXq1WrZsqWaN2+ulStXOs1btGiRmjZtqtatW2v9+vXeDBUAvIr8B6C28tplaLvdriFDhmjAgAFatWqVJk6cqGXLlumOO+6wbJORkaFRo0Zp0aJF6tGjh2666SZdddVVuuKKK5SamqopU6Zo1apVaty4sUaPHq3NmzcrKirKWyE7qYrLF1wiAWon8p8z8h9Qu3itWFy3bp3y8vI0b948hYSEKDk5Wffdd5/LZJmSkqLExESNGzdOkpSUlKTly5friSee0OLFizVmzBgNGzZMkjRs2DCtWbPGsey57Ha77Ha7Yzwv78zTZfn5+W7HX2o/4fay7ihv23V5G/l+Ls6ynN2G3fWZmLPbdbUud5Y5u5w7y3hze95alzvHq7L9wJf6lKfbqGhZd84EWiH/OavN/Yj8V7nteWtd5L/KbaOiZSvMf8ZLZs6caQYNGuQYLy0tNRERES7b9OnTxzz11FOO8S+++MIMHDjQGGNMq1atzBtvvOGYt2LFCnPPPfeUu54ZM2YYSQwMDAyVHrKzs8l/DAwMdXKoKP957cxifn6+YmNjHeN+fn7y9/dXbm6uIiIi3GoTFhamgwcPVjjvfNOmTdPkyZMd46Wlpfr1118VFRUlPz+/Su1LixYtlJ2drbCwMI/bVydfjl3y7fh9OXbJt+O/kNiNMSooKFDz5s0vaPvkv+rny7FLvh2/L8cu+Xb8VZH/vFYsBgQEyGazOU0LCgrSiRMnLJPl+W3OLl/RvPPZbLYy2w4PD6/MbjgJCwvzuU5zli/HLvl2/L4cu+Tb8Vc29kaNGl3Qdsl/NYsvxy75dvy+HLvk2/FfzPzntaehIyMjdfjwYadpBQUFCgwMdLvNucu7mgcANQn5D0Bt5rViMT4+Xps2bXKMZ2VlyW63KzIy0u026enpiomJqXAeANQk5D8AtZnXisVevXopPz9fS5culSQlJyerf//+8vf317Fjx1RSUlKmzfDhw7Vq1Spt375dhYWFWrBggQYMGCBJuvnmm/X8888rJydHP//8s5YsWeKYd7HZbDbNmDGjzKUdX+DLsUu+Hb8vxy75dvzVHTv5r2bw5dgl347fl2OXfDv+Kom9gof8PLJ27VoTEhJioqKiTOPGjc13331njDFGkklPTy+3zSOPPGICAwNNWFiY6dq1qzlx4oQx5szThKNHjzbBwcEmODjY3HDDDaa0tNSb4QKA15D/ANRWfsZcwMvFynHo0CGlpaUpISHB7RfIZmZmKicnR7179y5zX87mzZt1/Phx9e7du1JP9gFAVSH/AaiNvF4sAgAAoPbw6rehAQAAULtQLAIAAMBSnSwWjxw5otjYWO3bt88xbe3atWrdurUCAgLUpUsX7dixwzFv4sSJ8vPzcwyXXXZZNUT9P+XF7yrGjIwMxcfHKyIiQlOnTr2gb+B6w/nxL1u2zCn2s8OyZcskSUOHDnWa3r9//2qJ26qPuDq+n376qdq3b6/o6GjNmzevWuI+yyp+X+j7VjH6Ur+vKch/5L/KIP/V8fxXXU/WVJfDhw+bHj16GEkmKyvLGGPMnj17TEREhHnjjTfMoUOHzC233GKuueYaR5urr77avP/++yY3N9fk5uaa/Pz8aoq+/PhdxXjq1CnTqlUrc/fdd5s9e/aY3//+9+bll1+upujLj99utzvizs3NNdnZ2SY6Otrs2bPHGGPMJZdcYrZv3+6YX1hYWOVxW/URV8f3l19+MWFhYWbWrFlm165d5qqrrjLr16+v8thdxe8Lfd9VjL7S72sK8h/5rzLIf+S/Olcs9uvXzzz77LNOv6zvvvuuefHFFx3LrF+/3gQHBxtjjDl9+rQJCwszBQUF1RFuGeXF7yrGNWvWmIiICHP8+HFjjDHffvut6dmzZ1WG7KS8+M83Z84cM378eGOMMQcOHDDNmjWrwgjLZ9VHXB3fZ555xrRr187xypN33nnHjBo1quqDN9bx+0Lft4rRl/p9TUH+I/9VBvmv+tSU/FfnisUffvjBGGNc/rIuXrzYdO7c2RhjzDfffGMaNmxo2rRpY4KCgsyAAQPM/v37qyrcMsqL31WMM2fONIMGDXK0Ly0tNREREVUe91kVHf+TJ0+aJk2aOOa9/fbbpnHjxiYmJsaEhISYW2+91fz6669VGHH5zvYRV8d37Nix5t5773XMO3jwoGnXrl2Vx1qec/u41fSa1vfPOhujL/X7moL8R/7zBvJf9amu/Ffn7lmMjY11Ob+oqEhPP/207rnnHkln3oF2xRVXaPny5dq2bZsCAgJ01113VUWo5Sovflcx5ufnO7Xx8/OTv7+/cnNzqyzmc1V0/FesWKEePXqoVatWkqTvv/9ecXFxev/99/Xll18qKytL06ZNq4JIrZ3bR1wd3/PnhYWF6eDBg9URspPz+7jV9JrW98+P0Zf6fU1B/iP/XSjyX/Wp1vx3QaWmD5PFX3YPP/ywiYuLM0VFReW2279/v6lXr57Jy8u7yBG6ZhW/Mc4xPvTQQ+bBBx90mn/ppZeaAwcOVEGU1qzij4+PN++//75lu08//dRERUVdxMgqdm4fcXV8R4wYYZ599lnH9OLiYhMQEFDV4ZZh1cd9oe+7itEX+n1NQf4j/1UW+a9u5r+AypeZtc/69eu1aNEiffnll6pfv365yzRp0kSlpaX66aefFBYWVsURuufcGCMjI5WRkeE0v6CgoMyXImqCPXv2aM+ePfrd735nuUyTJk109OhR2e32avmG5/l9xNXxjYyM1OHDh8tMr05WfdwX+n5FMfpqv68pfKEPuMNX+wH57+Ij/13A8a90menjdN5fdj/88INp0qSJefXVV52WmzJlinn99dcd4+vXrzf16tVz3DhaXc6N31WMH3/8sWnTpo1j3g8//GCCgoJMcXFxVYfs5Pzjb8yZG7tvv/12p2kjRowwGzdudIy//PLLpmnTplURYhnl9RFXx3fJkiWmX79+jnnr1683bdu2rdKYz2XVx32h75cXoy/2+5qC/Ef+8xT5r27nP4pFY8yJEydMhw4dzPjx401BQYFjKC0tNcuXLzexsbHmo48+Mqmpqebyyy83Y8eOrd7gjXP8rmI8ffq0ady4seOx+XHjxpkbbrihusJ2KC9ZXnfddWbJkiVO0x5//HHTrVs3s3HjRrNmzRrTtGlTM3PmzCqM9AyrPlJUVGR5fA8fPmyCgoLMf/7zH1NUVGQGDhxokpKSqjx2V/H7Qt+3ivHVV1/1uX5fU5D/qhf5r2bE7wt9v6bkP4pFc+aRfkllhrPzH374YdOoUSMTGRlpJk6cWC3vuTrf+cnGVYxr1641ISEhJioqyjRu3Nh899131RCxs/PjP3HihAkMDDQ7duxwWq6oqMjceeedpkGDBqZZs2Zm1qxZ5vTp01Ucres+4ur4Ll682NSvX99ERESY2NhYc+jQoSqP3VX88+fPr/F939Wx97V+X1OQ/6oX+a9mxE/+c5+fMXzWoC44dOiQ0tLSlJCQoKioqOoOp9ZxdXyzsrL0/fff67rrrlPDhg2rKcK6iX4PiX5wsZH/aiZv9nuKRQAAAFiqc+9ZBAAAgPsoFgEAAGCJYhEAAACWKBYBAABgiWIRAAAAligWAQAAYIliEQAAAJYoFgEAAGCJYhEAAACW/j8SuLnwBnfxcgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "np.random.seed(19680801)\n",
    "\n",
    "mu_x = 200\n",
    "sigma_x = 25\n",
    "x = np.random.normal(mu_x, sigma_x, size=100)\n",
    "\n",
    "mu_w = 200\n",
    "sigma_w = 10\n",
    "w = np.random.normal(mu_w, sigma_w, size=100)\n",
    "\n",
    "fig, axs = plt.subplots(nrows=2, ncols=2, layout='constrained')\n",
    "\n",
    "axs[0, 0].hist(x, 20, density=True, histtype='stepfilled', facecolor='g',\n",
    "               alpha=0.75)\n",
    "axs[0, 0].set_title('stepfilled')\n",
    "\n",
    "axs[0, 1].hist(x, 20, density=True, histtype='step', facecolor='g',\n",
    "               alpha=0.75)\n",
    "axs[0, 1].set_title('step')\n",
    "\n",
    "axs[1, 0].hist(x, density=True, histtype='barstacked', rwidth=0.8)\n",
    "axs[1, 0].hist(w, density=True, histtype='barstacked', rwidth=0.8)\n",
    "axs[1, 0].set_title('barstacked')\n",
    "\n",
    "# Create a histogram by providing the bin edges (unequally spaced).\n",
    "bins = [100, 150, 180, 195, 205, 220, 250, 300]\n",
    "axs[1, 1].hist(x, density=True, histtype='bar', rwidth=0.8)\n",
    "axs[1, 1].hist(w, density=True, histtype='bar', rwidth=0.8)\n",
    "axs[1, 1].set_title('bar, unequal bins')\n",
    "\n",
    "# fig.tight_layout()\n",
    "fig.suptitle(\"不同histtype的直方图\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "np.random.seed(19680801)\n",
    "\n",
    "n_bins = 10\n",
    "x = np.random.randn(1000, 3)\n",
    "\n",
    "fig, ((ax0, ax1), (ax2, ax3)) = plt.subplots(nrows=2, ncols=2, layout='constrained')\n",
    "\n",
    "colors = ['red', 'tan', 'lime']\n",
    "ax0.hist(x, n_bins, density=True, histtype='bar', color=colors, label=colors)\n",
    "ax0.legend(prop={'size': 10})\n",
    "ax0.set_title('bars with legend')\n",
    "\n",
    "ax1.hist(x, n_bins, density=True, histtype='bar', stacked=True)\n",
    "ax1.set_title('stacked bar')\n",
    "\n",
    "ax2.hist(x, n_bins, histtype='step', stacked=True, fill=False)\n",
    "ax2.set_title('stack step (unfilled)')\n",
    "\n",
    "# Make a multiple-histogram of data-sets with different length.\n",
    "x_multi = [np.random.randn(n) for n in [10000, 5000, 2000]]\n",
    "ax3.hist(x_multi, n_bins, histtype='bar')\n",
    "ax3.set_title('different sample sizes')\n",
    "\n",
    "# fig.tight_layout()\n",
    "fig.suptitle(\"多数据集的直方图\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x1e6ef87cf90>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "sns.set_theme(style=\"darkgrid\")\n",
    "df = sns.load_dataset(\"penguins\")\n",
    "sns.displot(\n",
    "    df, x=\"flipper_length_mm\", col=\"species\", row=\"sex\",\n",
    "    binwidth=3, height=3, facet_kws=dict(margin_titles=True),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x1e702ff44d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 用seaborn实现带有边际分布的六边形图\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "sns.set_theme(style=\"ticks\")\n",
    "\n",
    "rs = np.random.RandomState(11)\n",
    "x = rs.gamma(2, size=1000)\n",
    "y = -.5 * x + rs.normal(size=1000)\n",
    "\n",
    "# jointplot画出来的图都带有边际直方图\n",
    "sns.jointplot(x=x, y=y, kind=\"hex\", color=\"#4CB391\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axis.XTick at 0x1e7031978d0>,\n",
       " <matplotlib.axis.XTick at 0x1e7030a1490>,\n",
       " <matplotlib.axis.XTick at 0x1e703b35510>,\n",
       " <matplotlib.axis.XTick at 0x1e703b1d250>,\n",
       " <matplotlib.axis.XTick at 0x1e703bc3f50>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 用seaborn实现堆叠直方图\n",
    "import seaborn as sns\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "sns.set_theme(style=\"ticks\")\n",
    "\n",
    "diamonds = sns.load_dataset(\"diamonds\")\n",
    "\n",
    "f, ax = plt.subplots(figsize=(7, 5))\n",
    "sns.despine(f)\n",
    "\n",
    "# 根据hue的取值来进行直方图的堆叠\n",
    "sns.histplot(\n",
    "    diamonds,\n",
    "    x=\"price\", hue=\"cut\",\n",
    "    multiple=\"stack\",\n",
    "    palette=\"light:m_r\",\n",
    "    edgecolor=\".3\",\n",
    "    linewidth=.5,\n",
    "    log_scale=True,\n",
    ")\n",
    "ax.xaxis.set_major_formatter(mpl.ticker.ScalarFormatter())\n",
    "ax.set_xticks([500, 1000, 2000, 5000, 10000])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
